x = -2
y = 1
let's multiply second equation by 4 to get a common coefficient of y variable.
16x-8y=-40
add the equations
3×+8y=2
16x-8y=-40
----------------
3x+16x = -38
19x = -38
x = -2
substitute x
3×-2 + 8y = 2
-6 + 8y = 2
8y = 2+6
y = 1
check the answer
-6+8 = 2
-8-2= -20
Each equation in a system of linear equations has the same slope. What are the possible solutions the system could have? A. LIVE The system could have no solution or infinitely many solutions. B. LIVE The system could have one solution or no solution. C. LIVE The system could have one solution. D. LIVE The system could have one solution or infinitely many solutions.
3 John can clean pools at a constant rate of What is the ratio of pools to hours? pools per hour.
Select all the equations on which the point (10,0) lies.
Answer:
B, C
Step-by-step explanation:
Since y=0, you are looking for equations such that 10 times the coefficient of x is the constant in the equation.
a) 5·10 ≠ 15
b) 2·10 = 20 . . . . select this one
c) 10 = 10 . . . . select this one
d) 3·10 ≠ 13
e) 4·10 ≠ 20
f) 6·10 ≠ 50
Dimond has 350$ in her bank account . She wrote 4 checks for 18.45$
each and 2 checks for 51.25$ each. what will be the balance in dimonds account after the checks are cashed?
Answer: 173 because she wrote two checks was nto given two checks so you subtract :)
Step-by-step explanation:
I'm giving 40 points for this!! Pleaseeee help ASAP :)
Answer:
7 mStep-by-step explanation:
Let the width is w and the length is w + 5.
The area is 84:
w(w + 5) = 84w² + 5w - 84 = 0w² + 12w - 7 w - 84 = 0w(w + 12) - 7(w + 12) = 0(w - 7)(w + 12) = 0w = 7 is the only positive rootDirection: give the property used in each equation. Then, write the missing numbers.
1.( 8+15 ) + ( 4+9 ) = ( 4+__) + (__+ 15 ) Property:________
2. (5
Answer:
( 8+15 ) + ( 4+9 ) = ( 4+9 ) + ( 8+15 )
Associative Property of Addition
Step-by-step explanation:
Question 2 of 5
Which expression is equivalent to 4(x + 3)?
A. 4 + x + 3
B. 4x + 12
C. 4x + 3
D. 4x + 3x
SUBMI
Hey there!
4(x + 3)
= 4(1x + 3)
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(1x) + 4(3)
= 4(x) + 4(3)
= 4x + 12
Therefore, your answer is:
Option B. 4x + 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
An angle measures 52° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Measure of each angle is 71 and 19 degrees.
Step-by-step explanation:
Let's the angle be "n"
Complementary angle = 90 °
n- (90-x) = 52
n - 90+ n = 52
Combine like terms
n - 90+ n = 52
2n-90=52
Add 90 to both sides of the equation
2n-90+90=52+90
simplify
2n = 142
Divide both sides of the equation by the same term
2n/2 = 142/2
Simplify
n = 71
2n = 142
Measure of each angle
1st = 71
2nd = 90-71 = 19
[RevyBreeze]
The base of a rectangle is 1 cm less than twice its height. The area is 45 cm2, find the dimensions of the rectangle.
Answer:
5
Step-by-step explanation:
45=(2x-1)(x)
45=(2(5)-1)(5)
45=(10-1)(5)
45=(9)(5)
45=45
Function? Explain why or why not.
Answer/Step-by-step explanation:
If the vertical line touches the graph at more than one point, then the graph is not a function.Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.
[RevyBreeze]
Yes it's a function
As per the defination of function.
If every domain of the relationship has an unique range that's a function
f(x)=ySo
Here
f(0)=0And rest also have unique range
So it's a function
Please help I will give brainliest.
Answer:
C
Step-by-step explanation:
1 + 0.02 is the 2% growth of the collection every month, to the power of 12 means the 12 months, and to the power of 2 mean 2 years.
Find the product. Write your answer as a mixed number in simplest form 4 2/9 x 2 4/9
Answer this qn sm1
Also, can others check on my latest 2 qns?
Answer:
Check the attachment.
6. The value of a car depreciates by 22.5% per year. After how many years is
the value of the car first less than 40% of its original value
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{40\%~of~P}{0.4P~~~~}\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to 22.5\%\to \frac{22.5}{100}\dotfill &0.225\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ 0.4P=P(1-0.225)^t\implies \cfrac{0.4P}{P}=(1-0.225)^t\implies 0.4=0.775^t[/tex]
[tex]\log(0.4)=\log(0.775^t)\implies \log(0.4)=t\log(0.775) \\\\\\ \cfrac{\log(0.4)}{\log(0.775)}=t\implies \stackrel{\textit{about 3years, 215days and 8hrs}}{3.59\approx t}[/tex]
so at that time the value is 40% of its original value, I guess is less than that a minute or an hour later.
PLEASE HELP!! with solution needed!!
Step-by-step explanation:
move the denominators across sides
4x-8 = 3x+15
x=23
Answer:
x = 23Step-by-step explanation:
[tex] \frac{x - 2}{3} = \frac{x + 5}{4} \\ 4(x - 2) = 3(x + 5) \\ 4x - 8 = 3x + 15 \\ 4x - 3x = 15 + 8 \\ x = 23 \\ [/tex]
*will mark brainliest*
Little Tommie sees two triangles on his test. He is asked if the two triangles are similar by SAS similarity. His response is "Yes!" Is Little Tommie correct? Explain in at least three sentences.
Answer:
Yes
Step-by-step explanation:
Side 2 squared is side 4Side 3 squared is side 9since both those sides are similar , the angle between them is the sameSimplify 10 times the square root of quantity 2 y end quantity plus 5 times the square root of quantity 2 y end quantity plus 3 times the square root of quantity 2 y end quantity . 18 times the square root of quantity 6 y end quantity 18 times the square root of quantity 2 y end quantity 12 times the square root of quantity 2 y end quantity 18 times the square root of quantity 6 y cubed
Answer:
18√(2y)
Step-by-step explanation:
10√(2y) + 5√(2y) + 3√(2y) =
= 18√(2y)
= 18√(2y)
Simplifying Square Roots. To simplify a square root make the number inside to square root as small as possible (but still the whole number) Get your calculator or check if you need them are both have the same value this is the rule when a or b are possitive.
= 10√(2y) + 5√(2y) + 3√(2y)
= 18√(2y)
How do I use the simplify calculator?Enter a expression who want to simplify into the editor. The simplification calculator allows you for take a simple and complex expression or simplify or reduce the expression to it is simplest way. The calculator works for both numbers or expressions containing variables
Learn more about Simplifying Square Roots here https://brainly.com/question/12903659
#SPJ2
Sally has 8 coins in her wallet that added up to $1.10. She only has dimes and quarters. How many dimes did she have?
Answer: 2 Quarters and 6 dimes
Step-by-step explanation:
2 quarters = 50 Cents
6 Dimes = 60 Cents
2 Quarters + 6 Dimes = $1.10
Seven boys hire DVD's and each pays R5,50. If 4 friends join in, how much will they each pay then?
Seven boys hire DVD's and each pays R5,50
I assume R 5.50 ( R to be the currency)
also assuming that they dont hire any more DVDs
total amount paid by 7 boys
= 5.50 × 7
= 38.5
when 4 more friends join the amount should get divided by 11 ( 7 + 4 )
so each has to pay an amount of 38.5 / 11 = 3.5
I think my assumptions here were correct
if not
let me know :)
How long would it take to travel 315 mi at the rate of 45 mi/h?
360 h
or
14,175 h
or
270 h
or
7 h
Answer:
7 h
Step-by-step explanation:
315 miles / 45 miles per hour
cross out the miles since those units cancel out
7 hours
PLEASE HELP ASAP PLEASE!!!!
Answer:
(3,2)
Step-by-step explanation:
2x-4=y
2y+3x=13
We substitute the y in. They already gave us the equation 2x-4=y simplified so you would just plug this into the other equation
2(2x-4) +3x=13 : *distribute*
4x-8+3x=13 : *combine like terms*
7x-8=13 * add the 8 to the other side*
7x=21 *divide*
x=3
So the y=2x-4 is what we added in the place of the y to subtract it and solve for x. The second step would be solving for y. So now that we have our answer, 3 we plug it into the other equation preferably.
2(3)-4 =y : 6-4=y : 2=y
We can check our answer by pugging both x and y into both equations to make sure they are right. The statement should be true.
2x-4=y 2(3)-4=(2) 2=2
2y+3x=13 2(2)+3(3)=13 13=13
2/3 x 5 Show your work.
Answer:
[tex]\frac{10}{3}[/tex]
Step-by-step explanation:
5 can be written as [tex]\frac{5}{1}[/tex].
Now, we multiply across the numerator and across the denominator.
[tex]\frac{2}{3}*\frac{5}{1}[/tex]
2 * 5 = 10
3 * 1 = 3
[tex]\frac{10}{3}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Find x pleaseeeeeeeeee
Answer:
20
Step-by-step explanation:
One angle of a nonagon has an angle of 140 degrees, so
7x = 140.
Divide 140 by 7 to find the value of x.
140 ÷ 7 = 20
Glenda and Fiero are at a restaurant eating meal that costs $30. They have a discount coupon that gets them 10% off the cost. If they pay the waiter a tip of 8% of their bill, how much are they spending on dinner including tip? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $29.16))
The cost of meal = [tex]$30[/tex]
The tip to the waiter = [tex]8%[/tex]%
Discount = [tex]10%[/tex]%
Cost = [tex]30 + 0.08 * 30 - 0.1 * 30[/tex]
Cost = [tex]30(1 + 0.08 - 0.1)[/tex]
Cost = $[tex]$29.4[/tex]0
The wholesale price for a bookcase is $115. A certain furniture store marks up the wholesale price by 39% . Find the price of the bookcase in the furniture store.
Round your answer to the nearest cent, as necessary.
Answer:
$159.85
Step-by-step explanation:
Pleaseeeeee help??????????
Answer:
20 units
Step-by-step explanation:
there is a theroem when a tangent and secant intersect outside a circle
as per it
CU*DU = GU^2
7.2*DU = 12*12=144
DU = 20 units
Rewrite the expression below by completing the square.
Answer:
correct me if I'm wrong......
Becky received a statement on her Certificate of Deposit showing that her investment had returned $6,336 over its life. If the Certificate of Deposit pays a simple interest rate of 4.4% and her initial investment was $16,000, how long had the money been invested?
The amount of money returned as interest depends on the initial
amount, the interest rate and the number of years.
Response:
The money has been invested for 9 yearsWhat is simple interest and how can the duration of investment be found?Given:
The return on investment = $6,336
Amount the Certificate of Deposit pays = 4.4% simple interest
The initial investment (the principal), P= $16,000
Required:
The duration the initial amount of money had been invested.
Solution:
Interest = Principal × Rate × Time
Which gives;
[tex]Time = \mathbf{ \dfrac{Interest }{ Principal \times Rate}}[/tex]
Therefore;
[tex]Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9[/tex]
The duration the money had been invested = 9 yearsLearn more about simple interest here:
https://brainly.com/question/22943790
Answer: 9 years
Hope this helps.
GIven m is parallel to n, find the value of x and y
please the qeustion is in the screenshot
Answer:
If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning
Step-by-step explanation:
You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)
edit: Question 4) is similar following the AA statement for triangles
Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are
rectangles!
Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.
Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.
Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor